Question

Two sides of an isosceles triangle have lengths of 2 and 12 . What is the length of the third state ?

Answer 1

An isosceles triangle have two equal sides. In this case, it can be either 2 or 12. One of them is correct, and we can use the existence theorem of a triangle. That is:

|L1 - L2| < L3 < L1 + L2

Here, we can choose: L1 = 2 and L2 = 12 (the order doesn't matter)

|2 - 12| < L3 < 2 + 12

10 < L3 < 14

So the remaining side must be greater than 10 and smaller than 14.

The correct lenght of L3 is 12

Option C is the correct answer